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Entropy Bounds and Isoperimetry
 
S. G. Bobkov Syktyvkar State University, Syktyvkar, Russia
B. Zegarlinski Imperial College, London, England
Front Cover for Entropy Bounds and Isoperimetry
Available Formats:
Electronic ISBN: 978-1-4704-0430-7
Product Code: MEMO/176/829.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $37.20
Front Cover for Entropy Bounds and Isoperimetry
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  • Front Cover for Entropy Bounds and Isoperimetry
  • Back Cover for Entropy Bounds and Isoperimetry
Entropy Bounds and Isoperimetry
S. G. Bobkov Syktyvkar State University, Syktyvkar, Russia
B. Zegarlinski Imperial College, London, England
Available Formats:
Electronic ISBN:  978-1-4704-0430-7
Product Code:  MEMO/176/829.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $37.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1762005; 69 pp
    MSC: Primary 46; Secondary 51; 52;
  • Table of Contents
     
     
    • Chapters
    • 1. Introduction and notations
    • 2. Poincaré-type inequalities
    • 3. Entropy and Orlicz spaces
    • 4. $\mathrm {LS}_q$ and Hardy-type inequalities on the line
    • 5. Probability measures satisfying $\mathrm {LS}_q$-inequalities on the real line
    • 6. Exponential integrability and perturbation of measures
    • 7. $\mathrm {LS}_q$-inequalities for Gibbs measures with super Gaussian tails
    • 8. $\mathrm {LS}_q$-inequalities and Markov semigroups
    • 9. Isoperimetry
    • 10. The localization argument
    • 11. Infinitesimal version
    • 12. Proof of Theorem 9.2
    • 13. Euclidean distance (proof of Theorem 9.1)
    • 14. Uniformly convex bodies
    • 15. From isoperimetry to $\mathrm {LS}_q$-inequalities
    • 16. Isoperimetric functional inequalities
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Volume: 1762005; 69 pp
MSC: Primary 46; Secondary 51; 52;
  • Chapters
  • 1. Introduction and notations
  • 2. Poincaré-type inequalities
  • 3. Entropy and Orlicz spaces
  • 4. $\mathrm {LS}_q$ and Hardy-type inequalities on the line
  • 5. Probability measures satisfying $\mathrm {LS}_q$-inequalities on the real line
  • 6. Exponential integrability and perturbation of measures
  • 7. $\mathrm {LS}_q$-inequalities for Gibbs measures with super Gaussian tails
  • 8. $\mathrm {LS}_q$-inequalities and Markov semigroups
  • 9. Isoperimetry
  • 10. The localization argument
  • 11. Infinitesimal version
  • 12. Proof of Theorem 9.2
  • 13. Euclidean distance (proof of Theorem 9.1)
  • 14. Uniformly convex bodies
  • 15. From isoperimetry to $\mathrm {LS}_q$-inequalities
  • 16. Isoperimetric functional inequalities
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